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Complete Question
The data set below shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9
Which of the following statements is true based on the data set?
a. There is one outlier that indicates an unusually small number of cars were in the parking lot that day.
b. There are two outliers that indicate an unusually small number of cars were in the parking lot those two days.
c. There is one outlier that indicates an unusually large number of cars were in the parking lot that day.
d. There are two outliers that indicate an unusually large number of cars were in the parking lot those two days.
Answer:
a. There is one outlier that indicates an unusually small number of cars were in the parking lot that day.
Explanation:
An outlier can be defined as one of the values(numbers) present in a given symmetrical or unsymmetrical data that is either very small or much larger that the other numbers or values in the given days.
An outlier is formed sometimes due to errors that occur during a statistical measurement before obtaining the values.
In the question above,we were given the following data:
8 7 14 10 13 27 11 10 14 7 12 9 14 9
As we take a look at the values or numbers, we can observe a particular number that stands out amongst other numbers. That number is "27".
When we look at those numbers, 27 is much larger and it lies outside the range of the other number.
Hence, we can say that "27" is an outlier that indicates an unusually small number of cars were in the parking lot that day.
Therefore, Option a that states that "There is one outlier that indicates an unusually small number of cars were in the parking lot that day" is the correct option.